Question

use technology to find points and then graph the function y = -√x - 3 following the instructions below. done plotting points plot at least four points with integer coordinates point to delete it.

Explanation:

Step1: Choose integer - values for x

Since the function is $y =-\sqrt{x}-3$ and the square - root is defined for non - negative x values ($x\geq0$), we choose $x = 0,1,4,9$.

Step2: Calculate y - values for x = 0

When $x = 0$, $y=-\sqrt{0}-3=- 3$. So the point is $(0, - 3)$.

Step3: Calculate y - values for x = 1

When $x = 1$, $y=-\sqrt{1}-3=-1 - 3=-4$. So the point is $(1,-4)$.

Step4: Calculate y - values for x = 4

When $x = 4$, $y=-\sqrt{4}-3=-2 - 3=-5$. So the point is $(4,-5)$.

Step5: Calculate y - values for x = 9

When $x = 9$, $y=-\sqrt{9}-3=-3 - 3=-6$. So the point is $(9,-6)$.

Answer:

The points to plot are $(0, - 3),(1,-4),(4,-5),(9,-6)$